Answer: =−13x+21
Step-by-step explanation: Hope this help :D
Let's simplify step-by-step.
x−7(2x−3)
Distribute:
=x+(−7)(2x)+(−7)(−3)
=x+-14x+21
Combine Like Terms:
=x+−14x+21
=(x+−14x)+(21)
=−13x+21
A sector of a circle has a central angle measure of 300. The diameter of the circle is 26 centimeters What is the approximate area of the sector
Find the area of the shaded region
Answer:
249.9
Step-by-step explanation:
Area of the shaded region is 223.72 square units.
Step-by-step explanation:
Area of the shaded region = Area of parallelogram - Area of triangle
Area of the parallelogram = base x height
= 23.8 x 15
= 357 square feet
Area of triangle = \frac{1}{2}
2
1
x base x height
Let the height of the triangle be represented by h, applying the Pythagoras theorem;
23.8^{2}23.8
2
= 21^{2}21
2
+ h^{2}h
2
566.44 = 441 + h^{2}h2
h^{2}h
2= 125.44
h = \sqrt{125.44}
125.44
= 11.2
h = 11.2
Area of the triangle = \frac{1}{2}
21 x 23.8 x 11.2 = 133.28
Area of shaded region = 357 - 133.28
= 223.72
Area of the shaded region is 223.72 square units.
Since the area of the circle is I the area of the square, the
volume of the cone equals
o
I the volume of the pyramid or
(ench
or
srh.
o
the volume of the pyramid or (2n
o
the volume of the pyramid or
(2nm or s?h.
o
the volume of the pyramid or : ( 20%(h) or şir?h.
Answer:
(b)
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex] or [tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Step-by-step explanation:
Given
[tex]Ratio = \frac{\pi}{4}[/tex]
See attachment for complete question
Required
Determine the volume of the cone
The volume of a square pyramid is:
[tex]V = \frac{a^2h}{3}[/tex]
Where
a = base dimension
From the attachment, the base dimension of the square pyramid is 2r.
So:
[tex]a = 2r[/tex]
The volume becomes;
[tex]V = \frac{(2r)^2h}{3}[/tex]
To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.
So, we have:
[tex]V_2 = Ratio * V[/tex]
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]
[tex]V_2 = \frac{\pi}{4} * \frac{(2r)^2h}{3}[/tex]
Open bracket;
[tex]V_2 = \frac{\pi}{4} * \frac{4r^2h}{3}[/tex]
Cancel out 4
[tex]V_2 = \pi * \frac{r^2h}{3}[/tex]
The above can be written as:
[tex]V_2 = \frac{1}{3} * \pi r^2h[/tex]
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
So, we have:
[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]
or
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
here's a pic pls helpp
Answer: your answer is B 3/4
Step-by-step explanation:
Hope this helps you! Have a great day! ^v^
Answer:
[tex]x = \frac{3}{4} [/tex]Step-by-step explanation:
[tex] \frac{x}{3} = \frac{1}{4} [/tex][tex]3 \times \frac{x}{3} = 3 \times \frac{1}{4} [/tex][tex]x = 3 \times \frac{1}{4} [/tex][tex]x = \frac{3}{4} [/tex]Hope it is helpful....Given a cone with height of 10 cm and a base radius of 9 cm, what is the volume of the cone? Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
848 is the answer
The volume of the cone is approximately 282.74 cubic centimeters.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
We have,
The formula for the volume of a cone is V = (1/3)πr²h,
where r is the radius of the base and h is the height of the cone.
Substituting the given values.V = (1/3)π(9 cm)²(10 cm)
V = (1/3)π(81 cm²)(10 cm)
V = (1/3)π(810 cm³)
V = (270/3)π cm³
V = 90π cm³
V ≈ 282.74 cm³ (rounded to the nearest tenth)
Therefore,
The volume of the cone is approximately 282.74 cubic centimeters.
Learn more about cones here:
https://brainly.com/question/13798146
#SPJ3
Please help I really dont know where to start and am having a hard time with this unit
So a slope of 1/4 means that for every 4 steps you take forward, you would go up 1.
With this, beginning at the point (6,3), lets take 4 steps back and go down 1. This is instead of going forward, as that value would be outside of your graph We would end up at (2,2). By using these two points, you can graph your line.
Cornelius is building a solar system model. He plans on making a circular ring around one of the planets out of wire. He wants to know how long he should make the wire to position around the planet. Select all the formulas that coulr be used to determine the length of the circular ring.
Answer:
[tex]C = 2\pi r[/tex]
[tex]C = \pi d[/tex]
Step-by-step explanation:
Given
A circular ring
Required
The length
Let
[tex]r \to[/tex] the radius of the ring
The length is calculated by calculating the circumference of the ring.
This is calculated using:
[tex]C = 2\pi r[/tex]
or
[tex]C = \pi d[/tex]
Where
[tex]d \to[/tex] diameter
and [tex]d = 2r[/tex]
what is
78x98=
34x65=
45x78=
23x65
11x98=
1,029x75,674=
Answer:
78x98 7644
34x65 2210
45x65 2925
23x65 1495
11x98 1078
1029x75674 77868546
Need help pls! soon as posible :<
Answer:
B Is the answer
Step-by-step explanation:
I think
Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3
Answer:
[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]
Maria is serving shrimp cocktail at a party. She estimates that she will need 5 shrimp for each guest. A 12-ounce bag of shrimp contains approximately 26 shrimp. How many bags of shrimp should she buy to serve 50 guests?
pls help
Plssssssssss help me
Answer:
B
Step-by-step explanation:
Draw a line from the top of the 3 m line to the 10 m line so that the new line meets the the 10 meter line at right angles. The part you are interested in should be 4 meters long.
Top rectangle.
Area = L * W
L = 7 (10 - 3 = 7)
W = 4
Area = 4* 7 = 28
Bottom rectangle
Area = L * W
L = 12
W = 3
Area = 12 * 3 36
Total Area 64
i know your looking at this plz just answer this i need help i will give brainlist and 5.0 and say thanks
Answer:
Bottom right corner answer
AREA of circles pls help
Answer:
50.24cm2
Step-by-step explanation:
pi=3.14 so a=3.14x4square which equals 50.24cm2
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated
above. Find the probability that a male chosen at random watches comedy.
A. 2/15
B. 1/6
C. 1/3
D. 5/11
Answer:
C would be your answer. If im not mmistaken but im 99% sure
Step-by-step explanation:
Analyze the table below and complete the instructions that follow.
Sports
Drama
Comedy
Total
Male
8
2
5
15
Female
3
6
6
15
Total
11
8
11
30
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated above. Find the probability that a male chosen at random watches drama.
Solve the following equation using the zero prouduct property (x+9)(4x-1)=0
Answer:-9
1
Distribute
x
(
4
x
−
1
)
+
9
(
4
x
−
1
)
=
0
x(4x−1)+9(4x−1)=0
2
Distribute
4
x
2
−
x
+
9
(
4
x
−
1
)
=
0
4x
2
−x+9(4x−1)=0
3
Distribute
4
x
2
−
x
+
36
x
−
9
=
0
4x
2
−x+36x−9=0
4
Combine like terms
4
x
2
+
35
x
−
9
=
0
4x
2
+35x−9=0
5
Use the quadratic formula
x
=
−
35
±
35
2
−
4
⋅
4
(
−
9
)
2
⋅
4
x=
2⋅4
−35±
35
2
−4⋅4(−9)
6
Simplify
x
=
−
35
±
37
8
x=
8
−35±37
7
Separate the equations
x
=
−
35
+
37
8
x
=
−
35
−
37
8
x=
8
−35+37
x=
8
−35−37
8
Solve
x
=
1
4
x
=
−
9
x=
4
1
x=−9
Answers anyone I’m at risk for summer school ;-;
Answer:
1 is B 2 is D 3 is A 4 is A 5 is C 6 is A
4(c-3)-8 what is the value of c
Answer:
Did you mean 4c-12=8? If so, the value of c is 5.
Step-by-step explanation:
Answer:
4c-12=8 the value of c is 5.
Step-by-step explanation:
4x and -4x
Like or
Unlike
Answer:
unlike
Step-by-step explanation:
pls help balanceing this equation PCl3=P4+CL2
Answer: 4PCL3 -> P4 + 6CL2
Step-by-step explanation:
Please help me if anyone can
Answer:
V is proportional
Step-by-step explanation:proportion rule for b is x:4y
In one week, the number of bowls a potter made
was 6 times the number of plates. He made
90 bowls during the week. Write an equation that
could be used to find the number of plates p that
the potter made.
Answer:
Step-by-step explanation:
the number of bowls was 6 times the number of plates.
b = 6p
He made 90 bowls during the week.
90 = 6p
p = 15
He made 15 plates during the week.
Ms Adams shares out 28 pencils between Niamh and Jack in the ratio 2:5 How many pencils does each child get?
Answer:
Niamh gets 8 and Jack gets 20
Step-by-step explanation:
Answer:
Niamh gets 8 and Jack gets 20!
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
87.9
Step-by-step explanation:
I searched it up
You just brought a tank for your fishes. You have a height of 6ft. The length is 5times the width w. The volume of the tank is 600 ft^3. What is the width of the tank to the nearest tenth of a foot? The formula is V = (l)(w)(h)
Answer:
w = 20 feet
Step-by-step explanation:
V = lwh
600 = 5(6)w
600 = 30w
w = 20
hi can someone pls help me, it’s confusing
Answer:
options C -x^2/3z
Step-by-step explanation:
this is the correct answer after we cancelled them
Answer:
C
Step-by-step explanation:
This requires you to know the law of quotient for exponents. For this I recommend separating everything with the same variable into its own fraction to make it easier so you have (-2x^4/6x^2), (y^2/y^2), (z/z^2). Then to simplify you divide the coefficients and signs like normal but for the exponents, you subtract the exponent of the numerator from the denominator. This gives
(-x^2 / 3), (1), and ( 1/z), which you can multiple together to get c.
Hope this helps. Ask if you need me to clarify something.
Find the measure of a
Answer:
104 degrees
Step-by-step explanation:
The whole shape will come to 360 degrees, so if you add 126 degrees and 26 degrees it will come to 152 degrees. You then subtract 152 degrees fro. 360 degrees, this will give you 208 degrees. Then you divide 208 degrees by 2 that results in 104 degrees. So 104 degrees is the answer.
Nick bought 17 hamburgers for his friends. Each hamburger cost him $1.91, including tax. Which is the best estimate of the total cost
of the hamburgers?
please answer this questionnnnnnnnnnnnnnnnnnnnnn
Answer:
D. 30 Ft.
Step-by-step explanation:
Split the trapezoid into two shapes for an easier process .
The ideal split shall result in two shapes: A rectangle and a right triangle .
Rectangle Formula: L · W = A
Substitution: 6 · 4 = 24 Ft.
Right Triangle Formula: ( B · H ) ÷ 2 = A
Substitution: ( 3 · 4 ) ÷ 2 = 6 Ft.
Add the separate areas together to get the final result .
24 + 6 = 30 Ft.
(a) Fill in the tavle below to complete the proability distrubution of X
x 1 2 3 4
P(x) 0.3 0.2 ? 0.4
(b) compute the mean of random variable x
Answer:
2.6
Step-by-step explanation:
Given :
x 1 2 3 4
P(x) 0.3 0.2 ? 0.4
Σp(x) = 1
Hence, 0.3 + 0.2 +? + 0.4 = 1
0.9 +? = 1
? = 1 - 0.9
? = 0.1
For the mean :
E(X) = ΣX*P(X)
(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)
0.3 + 0.4 + 0.3 + 1.6 = 2.6
Hence, the mean = 2.6